Newton linearization of the Navier–Stokes equations for flow computations using a fully coupled finite volume method
作者：
Highlights：
• A novel numerical algorithm is developed using Newton linearization method for linearization of non-linear advection terms in the Navier–Stokes equations.
• The numerical experiments proved a remarkable improvement in the solution convergence of the developed algorithm without compromising the solution accuracy.
• The solution convergence rate of present algorithm increased by the Reynolds number for lid driven cavity flow problem and increased by 6 times at Re=10000.
• Present algorithms found a solution for backward facing step flow problem 10 times faster than the Picard linearization algorithm and maintained the solution accuracy.
摘要
•A novel numerical algorithm is developed using Newton linearization method for linearization of non-linear advection terms in the Navier–Stokes equations.•The numerical experiments proved a remarkable improvement in the solution convergence of the developed algorithm without compromising the solution accuracy.•The solution convergence rate of present algorithm increased by the Reynolds number for lid driven cavity flow problem and increased by 6 times at Re=10000.•Present algorithms found a solution for backward facing step flow problem 10 times faster than the Picard linearization algorithm and maintained the solution accuracy.
论文关键词：Finite volume method,Newton linearization method,Picard linearization method,Incompressible flow,Pressure-based scheme,Solution convergence
论文评审过程：Received 8 March 2020, Revised 18 August 2020, Accepted 19 December 2020, Available online 12 January 2021, Version of Record 12 January 2021.
论文官网地址：https://doi.org/10.1016/j.amc.2020.125916
